Set notation - Lecture 1

Question 1

⋀ &

Answer 1

AND

Question 2

V

Answer 2

OR

Question 3

¬

Answer 3

NOT

Question 4

⇒

Answer 4

IMPLIES

Question 5

∀𝑥

Answer 5

means for all 𝑥

Question 6

∃ 𝑥

Answer 6

there exists a value of 𝑥

Question 7

∈ ℕ

Answer 7

means is a element of the natural numbers

Question 8

ℝ

Answer 8

the set of real numbers

Question 9

ℝ∗

Answer 9

the set of non-zero real numbers

Question 10

ℝ^2

Answer 10

on the (x,y) plane

Question 11

ℝ^3

Answer 11

on the (x,y,z) plane

Question 12

ℚ

Answer 12

the set of rational numbers

Question 13

ℤ

Answer 13

the set of integers

Question 14

ℕ

Answer 14

the natural numbers

Question 15

∈

Answer 15

part of a set

Question 16

∉

Answer 16

not part of set

Question 17

| :

:

Answer 17

such that

Question 18

{}

Answer 18

Normal Set brackets

Question 19

] [

Answer 19

not including end terms - Open interval

Question 20

[ ]

Answer 20

Including end terms - Closed interval

Question 21

( )

Answer 21

For coordinates

Question 22

∅

Answer 22

Empty Set

Question 23

𝐴 ⊆ 𝐵

Answer 23

A is a subset of B

Question 24

𝐵 ⊇ A

Answer 24

B contains A

Question 25

⋂

Answer 25

Intersection

Question 26

∪

Answer 26

Union

Question 27

T | T | = T
T | F | = F
F | T | = T
F | F | = T

Answer 27

Implies table

Question 28

Natural Numbers def

Answer 28

any number that can be written as a fraction, where both the numerator and the denominator are integers, and the denominator is not equal to zero. infinite but countable.

Question 29

Integers def

Answer 29

a whole number that can be positive, negative, or zero

Question 30

Natural Numbers def

Answer 30

all positive integers from 1 to infinity

Question 31

Real Numbers def

Answer 31

are not imaginary

Question 32

Rational Numbers def

Answer 32

Can take the form 𝑎/𝑏, where 𝑎 and 𝑏 are integers.

Question 33

Irrational Numbers def

Answer 33

real number that cannot be expressed in the for of p/q, where p and q are integers, q≠0.